MATHEMATICS

The Lowner’s and the Branges functions

G. A. Yuferova

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: The theorem about composition of convergent series and of the p-symmetric Koebe function is proved. The differential equation for powers of solution of Lowner’s equation with constant controlling function are obtained. To get the communication between the de Branges functions and Koebe functions.

Keywords: univalent functions, Lowner equation, Bieberbach conjecture.

UDC: 517.54


Accepted: April 24, 2009